Finding the Third Proportional to 69,744 and 152,529

Step by Step Solution

1. Step 1: Write the proportion equation
   69,744 : 152,529 = 152,529 : x
2. Step 2: Convert to fraction form
   69,744/152,529 = 152,529/x
3. Step 3: Cross multiply
   69,744x = 152,529 × 152,529
4. Step 4: Simplify right side
   69,744x = 23,265,095,841
5. Step 5: Solve for x
   x = 23,265,095,841/69,744
6. Step 6: Final answer
   x = 333,578.46